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Finding the Third Proportional to 278,516,933,075 and 418,070,189,853

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Solution

The third proportional to 278,516,933,075 and 418,070,189,853 is: 627,547,782,154.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,516,933,075 : 418,070,189,853 = 418,070,189,853 : x
  2. Step 2: Convert to fraction form
    278,516,933,075/418,070,189,853 = 418,070,189,853/x
  3. Step 3: Cross multiply
    278,516,933,075x = 418,070,189,853 × 418,070,189,853
  4. Step 4: Simplify right side
    278,516,933,075x = 174,782,683,643,723,460,378,624
  5. Step 5: Solve for x
    x = 174,782,683,643,723,460,378,624/278,516,933,075
  6. Step 6: Final answer
    x = 627,547,782,154.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.